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Online-offline competition with heterogeneous consumers: an example for no existence of pure strategy Nash equilibrium
Weixing Forda, Haipeng Hanb, Jie Zhengb a Department of Management and Marketing, College of Business, Texas A&M University – San Antonio, TX, US
b School of Economics and Management, Tsinghua University, Beijing, China, 100084
Аннотация:
Existing literature on competition between online and offline firms has focused on market conditions that guarantee the existence of a pure strategy Nash equilibrium. In this note, by constructing a concrete example, we provide a first attempt to show that the equilibrium existence result does not necessarily hold when consumers' preferences are heterogeneous. Specifically, we consider the competition between one online firm and several offline firms in a market organized as a Salop model, where consumers' preferences have a binary distribution. We identify a boundary scenario where the type distribution is binary with one type of consumer loyal to online shopping and the other type loyal to offline shopping. We show that there is no pure strategy Nash equilibrium for this boundary scenario, which indicates that the market may not be stable under such conditions. Our study contributes to a better understanding of the equilibrium existence conditions for the online versus offline retail competition.
Ключевые слова:
online versus offline, price competition, salop model, heterogeneous consumers, existence of equilibrium.
Образец цитирования:
Weixing Ford, Haipeng Han, Jie Zheng, “Online-offline competition with heterogeneous consumers: an example for no existence of pure strategy Nash equilibrium”, Contributions to Game Theory and Management, 15 (2022), 41–50
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/cgtm413 https://www.mathnet.ru/rus/cgtm/v15/p41
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Страница аннотации: | 90 | PDF полного текста: | 41 | Список литературы: | 16 |
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